A303250 - OEIS

%I #4 Apr 20 2018 11:06:55

%S 2,45,203,1401,8664,55624,349273,2229806,14141138,89782352,570414504,

%T 3623364042,23013173083,146192778743,928659809148,5899066377892,

%U 37473134952091,238043423305307,1512137758273339,9605680030690948

%N Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A303254.

%H R. H. Hardin, <a href="/A303250/b303250.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +7*a(n-2) -27*a(n-3) -321*a(n-4) -213*a(n-5) +2807*a(n-6) +3899*a(n-7) -8015*a(n-8) -27255*a(n-9) +12353*a(n-10) +71558*a(n-11) +3162*a(n-12) -120371*a(n-13) +8354*a(n-14) +167215*a(n-15) -138930*a(n-16) -372344*a(n-17) +512518*a(n-18) +604644*a(n-19) -441639*a(n-20) -211921*a(n-21) -765287*a(n-22) +90464*a(n-23) +299277*a(n-24) +209820*a(n-25) +1367674*a(n-26) -1121671*a(n-27) -267827*a(n-28) -130972*a(n-29) -223517*a(n-30) +827606*a(n-31) -782370*a(n-32) -82371*a(n-33) +124045*a(n-34) +68912*a(n-35) +98182*a(n-36) -75028*a(n-37) +2868*a(n-38) +4232*a(n-39) +5296*a(n-40) -864*a(n-41) -1488*a(n-42) +576*a(n-43) for n>44

%e Some solutions for n=5

%e ..0..1..0..0. .0..1..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..0

%e ..1..0..1..1. .1..0..1..0. .1..1..1..0. .1..1..1..0. .1..1..0..0

%e ..1..1..0..0. .1..1..0..1. .1..0..0..0. .0..0..1..1. .1..0..0..0

%e ..0..0..0..1. .0..1..0..1. .1..0..0..0. .0..1..1..0. .0..1..1..1

%e ..1..1..1..0. .0..0..1..1. .1..1..0..0. .1..0..0..1. .1..0..0..0

%Y Cf. A303254.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 20 2018